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A description of auto-fixed subgroups in a free group
Martino, Armando; Ventura Capell, Enric
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
Let F be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of F (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of F which occur as the fixed subgroup of some automorphism is given.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Automorphisms
Group theory
Free group
Automorphism
Fixed subgroup
Eigengroup
Automorfismes
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
info:eu-repo/semantics/submittedVersion
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